Vector solutions of the coupled discrete conformable fractional nonlinear Schrödinger equations

Wick-type stochastic fractional solitons supported by quadratic-cubic nonlinearity

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Integrability, discrete kink multi-soliton solutions on an inclined plane background and dynamics in the modified exponential Toda lattice equation

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Data-driven femtosecond optical soliton excitations and parameters discovery of the high-order NLSE using the PINN

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Predicting the dynamic process and model parameters of the vector optical solitons in birefringent fibers via the modified PINN

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Symmetric and Anti-Symmetric Solitons of the Fractional Second- and Third-Order Nonlinear Schrödinger Equation

(2021) Qi-Hao Cao et al.   CHINESE PHYSICS LETTERS

Discrete localized excitations for discrete conformable fractional cubic–quintic Ginzburg–Landau model possessing the non-local quintic term

(2021) Da-Sheng Mou et al.   OPTIK

Optical solitons of a time-fractional higher-order nonlinear Schrödinger equation

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Fractional optical solitons of the space-time fractional nonlinear Schrödinger equation

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Breathing-soliton and singular rogue wave solutions for a discrete nonlocal coupled Ablowitz–Ladik equation of reverse-space type

(2020) Xiao-Yong Wen et al.   APPLIED MATHEMATICS LETTERS

Coupled spatial periodic waves and solitons in the photovoltaic photorefractive crystals

(2020) Chao-Qing Dai et al.   NONLINEAR DYNAMICS

Dynamical characteristic of analytical fractional solitons for the space-time fractional Fokas-Lenells equation

(2020) Ben-Hai Wang et al.   Alexandria Engineering Journal

Modified Kudryashov method via new exact solutions for some conformable fractional differential equations arising in mathematical biology

(2018) Dipankar Kumar et al.   CHINESE JOURNAL OF PHYSICS

Exact Solutions for a Local Fractional DDE Associated with a Nonlinear Transmission Line

(2016) İsmail Aslan   COMMUNICATIONS IN THEORETICAL PHYSICS

Exact Solutions for Fractional Differential-Difference Equations by (G'/G)-Expansion Method with Modified Riemann-Liouville Derivative

(2016) Ahmet Bekir et al.   Advances in Applied Mathematics and Mechanics

A new definition of fractional derivative

(2014) R. Khalil et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS